Question

What is the simplified form of (4p - 2)(p - 4)
Answer
What is the simplified form of (4p - 2)(p - 4)?
Answer
Find the missing coefficient.
(5d - 7)(5d - 6) = 25đ₽ +_d + 42
Answer
Find the missing coefficient.
(5d - 7)(5d - 6) = 25đ + _d + 42
Answer
What is the simplified form of (2x2 + 4x - 3)(3x + 1)?
Answer
The dimensions of a rectangular prism are n, n + 7, and n + 8. Use the formula V = / - w- h to write a polynomial in
standard form for the volume of the prism.
Answered by GPT 3.5
-6p^2 + 20p - 8
Answered by GPT 3.5
The simplified form is:

4p^2 - 18p + 8
Answered by GPT 3.5
(5d - 7)(5d - 6) = 25d^2 - 55d + 42

So, the missing coefficient is -55.
Answered by GPT 3.5
To find the missing coefficient, we need to find the middle term in the expansion of (5d - 7)(5d - 6).

(5d - 7)(5d - 6) = 25d^2 - 30d - 35d + 42
= 25d^2 - 65d + 42

Therefore, the missing coefficient is -65.
Answered by GPT 3.5
To simplify (2x^2 + 4x - 3)(3x + 1), we need to multiply each term in the first expression by each term in the second expression and then combine like terms:

(2x^2 + 4x - 3)(3x + 1)
= 2x^2(3x) + 2x^2(1) + 4x(3x) + 4x(1) - 3(3x) - 3(1)
= 6x^3 + 2x^2 + 12x^2 + 4x - 9x - 3
= 6x^3 + 14x^2 - 5x - 3

Therefore, the simplified form of (2x^2 + 4x - 3)(3x + 1) is 6x^3 + 14x^2 - 5x - 3.
Answered by GPT 3.5
The formula for the volume of a rectangular prism is V = lwh, where l is the length, w is the width, and h is the height.

Given the dimensions of the rectangular prism as n, n + 7, and n + 8, the length (l) = n, width (w) = n + 7, and height (h) = n + 8.

The volume of the prism can be written using the formula:

V = (n)(n + 7)(n + 8)
= n(n^2 + 8n + 7n + 56)
= n(n^2 + 15n + 56)
= n^3 + 15n^2 + 56n

Therefore, the polynomial in standard form for the volume of the prism is V = n^3 + 15n^2 + 56n.